In reality the level of state coordination is quite high in many countries normally considered free markets.
The amount (edit: percent) of GDP directly allocated by the Federal and State governments in the U.S. is greater than it ever was in the Soviet Union or China.
I did some fact checking. As per www.imf.org:
US General government total expenditure as Percent of GDP - %35.2 (2016)
China General government total expenditure as Percent of GDP - %31.9 (2016)